UPSKILL MATH PLUS

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Line l is the bisector of an angle ∠ A and B is any point on l. BP and BQ are perpendiculars from B to the arms of ∠A.
 
Show that:
 
(i) ∆ APB ≅ ∆ AQB
 
(ii) BP = BQ or B is equidistant from the arms of ∠A.
 
Screenshot_17.png
 
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Important!
This is a creative exercise. Your teacher will check it manually.